Problem 1
Answer: B) -15
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Step-by-step explanation:
Draw out a number line with -7 on it. Stuff to the left of this value are smaller than -7. Stuff to the left would be -8, -9, ... and -15 is part of that list.
So -15 is smaller than -7.
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Problem 2
Answer: Choice A) closed circle at 2 and shading to the right
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Step-by-step explanation:
Let's solve for h
![-5h+3 \le -7\\\\-5h \le -7-3\\\\-5h \le -10\\\\h \ge (-10)/(-5)\\\\h \ge 2\\\\](https://img.qammunity.org/2021/formulas/mathematics/high-school/u7obwzb9vc8g2sv3ope77sesmvic348r7p.png)
The inequality sign flips because we divided both sides by a negative value.
The solution set is the set of h values such that h = 2 or h > 2. In short, h can be 2 or larger.
Visually this will be a graph with a closed circle at 2 and shading to the right. The closed circle tells the reader "include the endpoint". This describes graph A.